Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
Bok, 2012

Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems is the first book in which two new concepts of numerical solutions of multidimensional Coefficient Inverse Problems (CIPs) for a hyperbolic Partial Differential Equation (PDE) are presented: Approximate Global Convergence and the Adaptive Finite Element Method (adaptivity for brevity). Two central questions for CIPs are addressed: How to obtain a good approximation for the exact solution without any knowledge of a small neighborhood of this solution, and how to refine it given the approximation. The book also combines analytical convergence results with recipes for various numerical implementations of developed algorithms. The developed technique is applied to two types of blind experimental data, which are collected both in a laboratory and in the field. The result for the blind backscattering experimental data collected in the field addresses a real-world problem of imaging of shallow explosives.

Författare

Larisa Beilina

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Michael V. Klibanov

The University of North Carolina System

1-407

Ämneskategorier

Matematik

Beräkningsmatematik

Infrastruktur

C3SE (Chalmers Centre for Computational Science and Engineering)

DOI

10.1007/978-1-4419-7805-9

ISBN

978-1-4419-7805-9